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The straight line x+y touches the parabo...

The straight line x+y touches the parabola `y=x-x^(2)` then k =

A

0

B

`-1`

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. The point or contact of the Une 2x-y+2 = 0 with the parabola y^(2)=16x...

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  2. The equation of the tangent to the parabola y^(2)=8x inclined at 30^(@...

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  3. The straight line x+y touches the parabola y=x-x^(2) then k =

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  4. Point of contact of y=1-x w.r.t. y^(2)-y+x=0 is

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  5. The line among the following that touches the parabola y^(2)=4ax is

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  6. Assertion (A) : The locus of the point of intersection of perpendicul...

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  7. Two tangents are drawn from (- 2, -1) to y^(2) = 4x. If theta is the a...

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  8. A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diam...

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  9. Angle between tangents drawn from origin to parabola y^(2)= 4a(x-a)is

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  10. The angle between tangents to the parabola y^(2)=4x at the points wher...

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  11. Statement-I : The condition for the line y = mx+c to be a tangent to (...

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  12. The condition that the line y=mx+c to be a tangent to the parabola y^(...

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  13. If the common tangent to circle x^(2)+y^(2)= c^(2) and the parabola y^...

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  14. Let x+y=k be a normal to the parabola y^(2)=12x . If p is the length o...

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  15. Equation of line touching both parabolas y^(2)=4x and x^(2) = -32y is

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  16. The points of contact of the tangents drawn from the point (4, 6) to t...

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  17. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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  18. If a,b,c form a GP with common ratio r, the sum of the ordinates of th...

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  19. The locus of foot of perpendicular from the focus upon any tangent to ...

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  20. The locus of point of intersection of tangents drawn at the ends of ch...

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